Answer: It will take 2.4 hours or 2 hours 24 minutes for the critical level to be reached if a person gets infected with 10 bacteria
Step-by-step explanation:
*From the question, bacteria increases in number at a growth rate of 200 percent per hour
*If one bacterium infects Mrs Williams for example, in 24 hours Mrs Williams will fall ill.
*Now this means that one bacterium growing at 200% per hour in Mrs Williams' body must have grown to 4800% in 24 hours for her to fall ill
That is: 200%---------1hour
?% --------- 24hours
24/1 ×200 =4800%
Now, if 10 bacteria infects Mrs Williams, how long will it take for her to fall ill? (In another way, when will the critical level of 4800% bacteria be reached?)
1 bacterium grows at -----200% in 1 hour
10 bacteria will grow at----- ?% in 1 hour
That is, 10/1 × 200 = 2000%
This means that 10 bacteria will grow at 2000 percent per hour.
So, if 10 bacteria grows at 200% per hour and consequently infects Mrs Williams, they will grow to 4800% in 2.4 hours and thereby causing the woman to fall sick in just 2.4 hours
That is, 10 bacteria grows at 2000%------1hour
They'll grow to 4800% in -----? hours
= 4800/2000 ×1= 2.4 hours.
Since 60 minutes make 1 hour, 0.4 hours will be: 0.4 ×60 = 24 minutes
Therefore the time required for 10 bacteria infecting a person to reach a critical level before he/she becomes ill is 2hours 24 minutes
